How do you find the slope of -2x+4y=6?

Jun 9, 2018

$\text{slope } = \frac{1}{2}$

Explanation:

$\text{the equation of a line in "color(blue)"slope-intercept form}$ is.

•color(white)(x)y=mx+b

$\text{where m is the slope and b the y-intercept}$

$\text{rearrange "-2x+4y=6" into this form}$

$\text{add "2x" to both sides}$

$4 y = 2 x + 6$

$\text{divide all terms by 4}$

$y = \frac{1}{2} x + \frac{3}{2} \leftarrow \textcolor{b l u e}{\text{in slope-intercept form}}$

$\text{with slope } = \frac{1}{2}$